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Finding the Fourth Proportional to 2,031.14, 3,046.84 and 992.03

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Solution

The fourth proportional to 2,031.14, 3,046.84 and 992.03 is: 1,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.14 : 3,046.84 = 992.03 : x
  2. Step 2: Convert to fraction form
    2,031.14/3,046.84 = 992.03/x
  3. Step 3: Cross multiply
    2,031.14x = 3,046.84 × 992.03
  4. Step 4: Simplify right side
    2,031.14x = 3,022,538.97
  5. Step 5: Solve for x
    x = 3,022,538.97/2,031.14
  6. Step 6: Final answer
    x = 1,488.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.